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BartSMP [9]
3 years ago
7

In the diagram, bisects ABC. Find mABD and mDBC

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

mABD=24

mDBC=24

Step-by-step explanation:

First, set up x+15 and 4x-12 as equivalent equations

Subtract x from both sides to get 3x-12=15

Add 12 to get 3x=27

x=9

Plug 9 into the original equations representing the measurements of angles

You should get 24 for both because bisected means both are congruent

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You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
otez555 [7]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of men and women who own cats.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men

n1 = 80

p1 = 55/100 = 0.55

x1 = p1n1 = 0.55 × 80 = 44

For women,

n2 = 100

p2 = 30/100 = 0.3

x2 = p2n2 = 0.3 × 100 = 30

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (44 + 30)/(80 + 100) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39

Test statistic = 3.39

5 0
4 years ago
Is (9,5) a solution to the inequality y<5x+9?
andreyandreev [35.5K]

Answer:

yes it is because 9 times 5 is 45 plus 9 is 54 and 54 is greater than 5

4 0
3 years ago
Read 2 more answers
HELP! DUE IN 5 MINS TvT
babunello [35]
I believe that answer is No
5 0
3 years ago
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3x – 4(x - 4) + 4 = 13<br> Solve for x step by step <br> Please answer quickly
dmitriy555 [2]

Answer:

7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

=> 3x - 4x + 16 + 4 = 13

=> - x + 20 = 13

=> - x = 13 - 20

=> - x = - 7

=> x = 7

5 0
3 years ago
Read 2 more answers
"Three times a number increased by eleven is seventeen" translates to which of the following equations?
ololo11 [35]
3x + 11 = 17 i think
7 0
3 years ago
Read 2 more answers
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